I need help with this problem. Its computing means and variances. Your friend's parents each have a job. Her mother's average weekly salary is $940 with astandard deviation of $40. Her father's average weekly salary is $880, with a standarddeviation of $50. Find the average weekly salary of her parents combined, and the standarddeviation of their combined salaries. You can assume that the amount of money her mothermakes has no effect on her father's salary, and vice versa.

Let X be the mother's weekly salary.and Y be the father's weekly…

Answered: Your friend's parents each have a job.…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2CYU

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I need help with this problem. Its computing means and variances.

Your friend's parents each have a job. Her mother's average weekly salary is $940 with a
standard deviation of $40. Her father's average weekly salary is $880, with a standard
deviation of $50. Find the average weekly salary of her parents combined, and the standard
deviation of their combined salaries. You can assume that the amount of money her mother
makes has no effect on her father's salary, and vice versa.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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